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If X is 20% less then Y, then find the value of $$\frac{Y - X}{Y}$$ and $$\frac{X}{X - Y}$$ :
Answer & Solution
Correct Answer:
Option
A
20% = $$\frac{1}{5}$$ = $$\frac{4}{5}$$
X : Y
4 : 5
Let X = 4a
Y = 5a
Hence,
⇔ $$\frac{Y - X}{Y}$$
= $$\frac{5a - 4a}{5a}$$
= $$\frac{a}{5a}$$
= $$\frac{1}{5}$$
⇔ $$\frac{X}{X - Y}$$
= $$\frac{4a}{4a - 5a}$$
= $$\frac{4a}{- a}$$
= - 4
Hence required answer = $$\frac{1}{5}$$, - 4
X : Y
4 : 5
Let X = 4a
Y = 5a
Hence,
⇔ $$\frac{Y - X}{Y}$$
= $$\frac{5a - 4a}{5a}$$
= $$\frac{a}{5a}$$
= $$\frac{1}{5}$$
⇔ $$\frac{X}{X - Y}$$
= $$\frac{4a}{4a - 5a}$$
= $$\frac{4a}{- a}$$
= - 4
Hence required answer = $$\frac{1}{5}$$, - 4
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